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Finding the Fourth Proportional to 386,814.96, 580,123.88 and 120,525.84

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Solution

The fourth proportional to 386,814.96, 580,123.88 and 120,525.84 is: 180,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,814.96 : 580,123.88 = 120,525.84 : x
  2. Step 2: Convert to fraction form
    386,814.96/580,123.88 = 120,525.84/x
  3. Step 3: Cross multiply
    386,814.96x = 580,123.88 × 120,525.84
  4. Step 4: Simplify right side
    386,814.96x = 69,919,917,941.06
  5. Step 5: Solve for x
    x = 69,919,917,941.06/386,814.96
  6. Step 6: Final answer
    x = 180,758.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.